The Rossoneri are betting everything for the Argentine midfielder, who just turned 19 in June.
"With an essential offer, it will be exceptionally hard to keep hold of Bentancur," Boca Juniors Vice-President Horacio Paolini told ESPNFC Radio.
"In the event that the proposition is above €10m, it will be difficult to keep him."
As indicated by Sky Sport Italia, the proposition on the table is now €12m and getting nearer to the €15m asking cost.
Juventus have a choice to sign Bentancur for €9.4m before April 20, 2017, an arrangement that was struck amid the Carlos Tevez exchange to Boca.
In any case, it's generally reported the Bianconeri are not intrigued by beating Milan's present offer, so are leaving the way clear.
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